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Finding the Fourth Proportional to 6,821.85, 9,403.18 and 5,094.35

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Solution

The fourth proportional to 6,821.85, 9,403.18 and 5,094.35 is: 7,022.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.85 : 9,403.18 = 5,094.35 : x
  2. Step 2: Convert to fraction form
    6,821.85/9,403.18 = 5,094.35/x
  3. Step 3: Cross multiply
    6,821.85x = 9,403.18 × 5,094.35
  4. Step 4: Simplify right side
    6,821.85x = 47,903,090.03
  5. Step 5: Solve for x
    x = 47,903,090.03/6,821.85
  6. Step 6: Final answer
    x = 7,022.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.